Write a quadratic equation with integer coefficients with no common factors, which has the given numbers as solutions. Solutions of 5, 45

Question

Write a quadratic equation with integer coefficients with no common factors, which has the given numbers as solutions.  Solutions of 5, 45

Kathleen Ashton · Accepted Answer

Step 1   GIven:   the solutions of the quadratic equation with integer coefficients are =5,(45)   We will go into reverse to find the equation from the solutions provided in the question.    Let us consider,  x=5 and x=45  Step 2  x=5 and x=45  x−5=0 and x−45=0  We need our final equation in integer form so we need to get rid of fractions  We multiply x−54=0, with 5  5×(x−54)=0×5  we get,  5x−4=0  So our two equations are:  x−5=0 and 5x−4=0  ∴(5x−4)(x−5)=0  Opening brackets we get:  5x2−25x−4x+20=0  5x2−29x+20=0  So our original quadratic equation is 5x2−29x+20=0

Write a quadratic equation with integer coefficients with no common fa

Answered question

Answer & Explanation

New Questions in Pre-Algebra